Pith Number

pith:RKQPR37P

pith:2010:RKQPR37POGCHCFMCDTN2ZVBA2C

not attested not anchored not stored refs pending

Nondegeneracy of the eigenvalues of the Hodge Laplacian for generic metrics on 3-manifolds

Alberto Enciso, Daniel Peralta-Salas

arxiv:1003.4206 v1 · 2010-03-22 · math.DG · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RKQPR37POGCHCFMCDTN2ZVBA2C}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:44:47.549796Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8aa0f8efef71847115821cdbacd420d0be3076759dcf77b991a3e6e2d46a68ba

Aliases

arxiv: 1003.4206 · arxiv_version: 1003.4206v1 · doi: 10.48550/arxiv.1003.4206 · pith_short_12: RKQPR37POGCH · pith_short_16: RKQPR37POGCHCFMC · pith_short_8: RKQPR37P

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/RKQPR37POGCHCFMCDTN2ZVBA2C \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 8aa0f8efef71847115821cdbacd420d0be3076759dcf77b991a3e6e2d46a68ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28d9247a6e997a9b465f1ebfda0cce074f0c01996fb2ebe1b9b893ebf504f5b6",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-03-22T16:17:11Z",
    "title_canon_sha256": "16fa846cc4ce59f908ca16af65d78dc8b24e071af5560493c5ef94f45cfc10b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.4206",
    "kind": "arxiv",
    "version": 1
  }
}